how to Solve ut = kuxx (−∞ < x < ∞, 0 < t < ∞) u(x, 0) = e^(3x)
Question : how to Solve ut = kuxx (−∞ < x < ∞, 0 < t < ∞) u(x, 0) = e^(3x) Solution : To solve \[u_t\ \ =\ ku_{xx}\…
solution of the wave equation utt = c2 uxx for −∞ < x < +∞
Question : solve the wave equation utt = c2 uxx for −∞ < x < +∞ with the initial conditions u(x, 0) = φ(x)= sin x , ut(x, 0) =…
solved Find general solution of the pde ut + ux = 0
Question : Find general solution of the pde ut + ux = 0 Solution :
how to determine first order pdes as linear homogeneous linear inhomogeneous or nonlinear
Question : how to determine first order pdes as linear homogeneous linear inhomogeneous or nonlinear Solution :
find steady state solution of heat equation
Introduction : Here we shall determine steady state solution of heat equation. Steady state solution is a time independent function that satisfies the given PDE. Question : find steady state…
Prove that the Steady state solution of heat equation is unique
Introduction : Here we shall Prove that the Steady state solution of heat equation is unique. Question : Given heat equation \[u_t=u_{xx}\ \ ,\ 0<x<1,\ t>0 \] \[\ u\left(0,t\right)=0\ ,\…
Complementary function and Particular integral of pde
Introduction: In this solution, we find Complementary function and Particular integral of a pde which is homogeneous and linear Question: find Complementary function and Particular integral of a homogeneous linear…
Particular Integral of linear homogeneous pde
Introduction: In this solution, we find Particular Integral of homogeneous linear pde Question: Find general solution of linear homogeneous pde \[r+s-2t=0\] Solution:
Homogeneous pde example solved
Introduction: In this question, we solved homogeneous pde example. Question : Solve Homogeneous pde \[r+2s+t=0\] Solution:
Solved pde 2r+5s+2t=0
Introduction: In this solution, we find complementary function of pde 2r+5s+2t=0. Question: solved pde \[2r+5s+2t=0\] Solution: